The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8500 ​ft, the liquid boils at 199.55 F. At an altitude of 4300 ​ft, the liquid boils at 206.69 F. Write an equation giving the boiling point b of the​ liquid, in degrees​ Fahrenheit, in terms of altitude​ a, in feet. What is the boiling point of the liquid at ​ft?

Answers

Answer 1

Answer:b = -0.0013a + 211

Step-by-step explanation:

Since the relationship is linear, we can use a linear equation. The formula in slope-intercept form is .

As the question specifies to use a for altitude and b for boiling point, change the variables equation to

b is the boiling point.

m is the slope.

a is the altitude.

c is the y-intercept.

To find the slope, we can use the equation  except x is a and y is b.

The sets of information given are:

8500 ​ft, the liquid boils at 199.95°  (This can be info set 1)

4300 ​ft, the liquid boils at 205.41°  (This can be info set 2)

Substitute the info sets into the equation. The subscripts mean which info set to get the numbers from.

m = -0.0013

Find the y-intercept by substituting m = -0.0013 and a random info set. I will use info set 1. Isolate c, the only variable.

b = ma + c

199.95 = (-0.0013)(8500) + c  <= Simplify

199.95 = -11.05 + c

199.95 + 11.05 = -11.05 + 11.05 + c  <=add 11.05 on both sides to isolate c

c = 211  <= y-intercept

Put the y-intercept and slope into the equation of a line:

b = ma + c

b = -0.0013a + 211 <= This is the equation for the problem.


Related Questions

Find the slope of the line through the pair of points.
(1,15) and (-3,-6)

Answers

Answer:

21/4

Step-by-step explanation:

-6-15/ -3-1= -21/-4=21/4

How many planes are shown in the figure?​

Answers

There are 5 planes shown

A sixth-grade class is painting a mural. To make a darker shade of orange, they use a ratio of 5 ounces of red paint to 3

ounces of yellow paint. Use this ratio to consider the amount of yellow paint needed for each amount of red paint listed in the table.
Point Red Paint, x
(ounces) Yellow Paint, y
(ounces)
A
5

B
15

C
20


Determine ordered pairs for points A
, B, and C

, and graph the relationship of the amount of red paint to the amount of yellow paint on the coordinate plane.

Click on the grid to plot the three points.

Answers

Answer:

I think its B

Step-by-step explanation:

Which of the costs listed below is not an example of a cost that would be
apportioned?
A. Company-wide workshop
B. Branch salespeople
C. Office supplies
D. Warehouse space

Answers

Answer:

A. Company-wide workshop

Step-by-step explanation:

An example of cost that would be not apportioned is the company-wide workshop.

What is an apportioned cost?

This refers to the distribution of various overhead items in proportion, to the department on a logical basis.

That is, the cost that includes Branch salespeople, Office supplies and Warehouse space are recognized in overhead.

Therefore, the Option A is correct.

Read more about apportioned cost

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#SPJ2

k(x) =-4x + 4: Find k(-3x)​

Answers

Answer:

12x+4 this is how the equation would look like: (-4*3x)+4

Step-by-step explanation:

Have a great day plz mark as brainliest :'D

The graph shows the savings in Andre’s bank account.

Answers

Answer:

As the number of week increases, the Andre's savings also increases

Step-by-step explanation:

Given

The attached graph

Required

Explain what the slope represents (Missing part of the question:)

First, we'll check the slope of the graph.

Represent time in weeks with x and savings in dollar with y

So, we have the following details:

[tex](x_1,y_1) = (0,40)[/tex]

[tex](x_2,y_2) = (8,80)[/tex]

Slope (m) is then calculated as thus:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{80 - 40}{8 - 0}[/tex]

[tex]m = \frac{40}{8}[/tex]

[tex]m = 5[/tex]

The calculated slope is positive and this implies that: As the number of week increases, the Andre's savings also increases

Study the equations:

f(x) = 6x + 7

g(x) = 4x – 2

What is h(x) = f(x)g(x)?

h(x) = 24x2 – 14
h(x) = 24x2 + 40x + 14
h(x) = 24x2 + 16x – 14
h(x) = 24x2 + 12x – 14

Answers

h(x) = (6x + 7)(4x - 2)

Use FOIL Method (First, Outer, Inner, Last)

h(x) = 24x^2 - 12x + 28x - 14

Combine like terms.

h(x) = 24x^2 - 16x - 14

Answer:

h(x)=24X^2+40x+14

Brittney found a swimsuit that she wanted to buy with a price tag marked $80. The sign above it indicated that this price was 20% off. What was the original price of the swimsuit?

Answers

Answer:

$60

Step-by-step explanation:

because 20 percent of 80 is 20 so 80-20 = 60.

Answer:

$60

Step-by-step explanation:

because 20 percent of 80 is 20 so 80-20 = 60.

plz plz plz help me​

Answers

Answer:

use a calculator its that easy

Step-by-step explanation:

Answer:

Line Ef = 24

Step-by-step explanation:

What is an equation in slope-intercept form for the line that passes through the points (1,-3) and (3,1)

Answers

Step-by-step explanation:

Hey there!

Note: Use double point formula for finding the eqaution which passes through two points.

Given;

The points are; (1,-3) and (3,1).

Use double point formula.

[tex](y - y1) = \frac{y2 - y1}{x2 - x2} (y - y1)[/tex]

Put all values.

[tex](y + 3) = \frac{1 + 3}{3 - 1} (x - 1)[/tex]

Simplify it.

[tex](y + 3) = \frac{4}{2} (x - 1)[/tex]

[tex]y + 3 = 2(x - 1)[/tex]

[tex]y + 3 = 2x - 2[/tex]

[tex]y = 2x - 2 - 3[/tex]

[tex]y = 2x - 5[/tex]

Therefore, the eqaution is y = 2x-5.

Alternative:

Steps:

Find slope using slope formula and use one point formula.Simplify in the form of y = mx+c form.

Formula:

Slope = (y2-y1)/(x2-x1)One point formula= (y-y1)= m(x-x1)

The points are; (1,-3) and (3,1).

Now;

Slope= (1- (-3))/(3-1)

= (1+3)/2

= 2

Again;

Using one-point formula.

(y+3) = 2(x-1)

y+3= 2x-2

y = 2x -5

Therefore, the equation is y = 2x-5.

(You can follow up any method you want)

Hope it helps....

 In a survey of 1,800 people who owned a certain type of​ car, 990 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

55%

Step-by-step explanation:

Solve for a.
1/2a - 4 = 6

Answers

a=20, you simplify both sides of the equation and then isolate the variable to find a

Explain how you can use equivalent fractions to find the quotient of 2 3 ÷ 4. Sample Response: Find a fraction that is equivalent to 2 3 , and has a multiple of 4 as the numerator. Multiply the numerator and denominator by 2 to get 4 6 ÷ 4, since 2 3 = 4 6 . The quotient is 1 6 . Which did you include in your explanation? Check all that apply. Find a fraction that is equivalent to Two-thirds, and has a multiple of 4 as the numerator. Multiply the numerator and denominator by 2. Two-thirds = StartFraction 4 Over 6 EndFraction Divide StartFraction 4 Over 6 EndFraction by 4. The quotient is

Answers

Answer:

Find a fraction that is equivalent to 2

3

, and has a multiple of 4 as the numerator. Multiply the numerator and denominator by 2 to get 4

6

÷ 4, since 2

3

= 4

6

. The quotient is 1

6

.

Step-by-step explanation:

i had the questiojn

Which equation represents this problem? HELP ASAP! :(


Carol's age is three more than two times Lindsay's age. Carol is 39 years old. How old is Lindsay?


Let l = Lindsay's age in years.


A) 2l–3=39


B)2l + 3 = 39


C)3l + 2 = 39


D)3l–2=39

Answers

Answer:

B, 2I + 3 = 39

Step-by-step explanation:

work backwards first, so 39 minus 3 is 36, divided by two is 13.

4. When solving an equation, Henry gets to
the last line of his work and is left with "2 = 3".
What does this mean?
A. The solution is 3.
B. There is only one solution.
C. There is no solution.
D. There are infinite solutions.
1pt

Answers

c) there is no solution

Please Quick Will give Brainliest
What is the equation of the line that passes through (-3, -1) and has a slope of ? Put your answer in slope-intercept form.


y = x +
y = x -
y = -x -

Answers

Answer:

y=3/5x -4/5

Step-by-step explanation:

3/5 is the slope so you do 3/5x

-4/5 is negative because the line passes two negative coordinates

Hope this helps!

I earned $92 for cutting yards. I gave my brother 20% of my money for helping me. How much money did I give my brother?

Answers

$18.4.
.20 (20%) times 92 = 18.4. Hope ai helped!

distance between a(3,9) b(-10,4)​

Answers

Answer:

√194 i think

Step-by-step explanation:

Answer:

[tex]\boxed {d = \sqrt{194}}[/tex]

Step-by-step explanation:

Use the Distance Formula to help you find the distance between the two given points:

[tex]d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}[/tex]

First point: [tex](x_{1}, y_{1})[/tex]

Second point: [tex](x_{2}, y_{2})[/tex]

-Substitute the two given points onto the formula:

First point: [tex](3, 9)[/tex]

Second point: [tex](-10, 4)[/tex]

[tex]d = \sqrt{(-10 - 3)^{2} + (4 - 9)^{2}}[/tex]

-Then, you solve for the distance:

[tex]d = \sqrt{(-10 - 3)^{2} + (4 - 9)^{2}}[/tex]

[tex]d = \sqrt{(-13)^{2} + (-5)^{2}}[/tex]

[tex]d = \sqrt{169 + 25}[/tex]

[tex]\boxed {d = \sqrt{194}}[/tex] (since the number cannot be square rooted, the number will stay the same)

Therefore, the distance is [tex]\sqrt{194}[/tex].

PLS HELP ME :( i don’t understand this and i can’t afford to get anything wrong right now!!

Answers

Answer: Point A represents Q1, Point B represents the Median, Point C represents Q3

Step-by-step explanation:

pls help what's 9 divided by 7432

Answers

7432/9 = 825,7777777777778 = 825,8

Answer:

825.7 (the 7 is repeating)

Step-by-step explanation:

1. Divide

2. Multiply

3. Subtract

4. Bring down

Use these four steps to divide!

The equation - 2 (x + 1) = (y – 5)^2 is represented by which graph?

Answers

Answer:

B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

edge

Bradley estimated the height of a tree at 2.5 meters. Carla estimated that tree's height at 8 feet.

How could a conversion ratio be used to compare Bradley's and Carla's estimates of the tree's height when measured in feet? (1 foot = 0.305 meters)

Answers

Answer: 4.1 feet : 4 feet

Step-by-step explanation:

From the question, we are informed that Bradley estimated the height of a tree at 2.5 meters. Carla estimated that tree's height at 8 feet.

The conversion ratio be used to compare Bradley's and Carla's estimates of the tree's height when measured in feet goes thus:

Since 1 feet = 0.305 meters

2.5 meters will be = 2.5/0.305 = 8.2 feet

Therefore the conversion ratio will be:.

= 8.2 : 8

Reducing to lowest term will be

= 4.1 feet : 4 feet.

= 4.1 : 4

find the value of x pls

Answers

Answer:

answer is 45 add all angle=360 it make 360/8

Answer:

x = 45

Step-by-step explanation:

The 2 interior angles of the triangle adjacent to both 3x's is

180 - 3x

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

2x is an exterior angle of the triangle, thus

180 - 3x + 180 - 3x = 2x , that is

360 - 6x = 2x ( add 6x to both sides )

360 = 8x ( divide both sides by 8 )

45 = x

9. PART A: Which of the following best summarizes
what Stanton wants her listeners to do?
O A Stanton wants the audience to protest the
federal government until women have the right
to vote.
O B Stanton wants the audience to take something
away from this speech and the Convention: a
sense of injustice.
OC Stanton encourages the audience to go out and
discuss what they heard that day at the
Convention with everyone they meet, in the
hopes they will change at least a few minds.
O D Stanton encourages the audience to spread
word of their cause, petition state and federal
governments, appeal to the church and press for
support, and continue with more conventions.

Answers

Answer:

D Stanton encourages the audience to spread the word for their cause

Step-by-step explanation:

I just know I have done the test and it makes the most sense. :)

The summary the can be deduced from the speech is that D. Stanton encourages the audience to spread word of their cause, petition state and federal governments.

What is a summary?

It should be noted that a summary means a brief statement or account of an event.

Stanton was popular for the role that she played in women's suffrage. She advocated for change regarding how women were treated.

During the convention, she encouraged the audience to spread word of their cause, petition state and federal governments, appeal to the church and press for support, and continue with more conventions.

She also implored her husband, John to help form the new America.

Learn more about Stanton on:

https://brainly.com/question/24781064

What is 10.3% of 100?

Answers

Answer:

it is 10.3

Step-by-step explanation:

Simplify 123 over 3

Answers

Answer:

The answer is 41

Step-by-step explanation:

Answer: 123/3 simplified is 41 or 41/1

Step-by-step explanation:

solve for h V=2πr^2h

Answers

Answer: h= V/2πr^2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Tyrell is bringing food to a community picnic. He expects 105 people to attend the picnic. He brings 4 cups of potato salad for every 7 people and 5 hot dogs for every 3 people. Select True or False for each statement. True False Tyrell brings 35 hot dogs. O True False Tyrell brings 60 cups of potato salad. The ratio of hot dogs to cups of potato salad that Tyrell brings to the picnic can be written 5:4. the ratio of cups of potato salad too hot dogs at Tyrell brings to the picnic can be written as 12:35​

Answers

Answer:

1. false

2.true

3.false

4. true

Step-by-step explanation:

The rectangle has length 8 cm and area 48 cm2.
The perimeter of the square is the same as the perimeter of the rectangle.

Calculate the area of the square.

Answers

Step-by-step explanation:

Given,

length of rectangle(l)= 8cm

area of rectangle(A) = 48cm2

breadth of rectangle(b) = ?

Perimeter of rectangle (P)=?

We know ,

Area of rectangle(A) = l×b

or, 48cm2 = 8cm×b

or, 48cm2 = 8bcm

or, 48cm2/8cm = b

or, 6cm = b

or, b = 6cm

therefore, b = 6cm

Perimeter of rectangle (P) = 2(l+b)

= 2(8cm+6cm)

= 2×14cm

= 28cm

therefore, Perimeter of rectangle(P) = 28cm

Now,

According to the question,

Perimeter of rectangle(P) = Perimeter of square(P)

So,

Perimeter of square(P) = 28cm

length of square(l) = ?

Area of square (A) = ?

We know,

Perimeter of square (P) = 4l

or, 28cm = 4l

or, 28cm/4 = l

or, 7cm = l

or, l = 7cm

therefore, l = 7cm

Now,

Area of square (A) = l^2

= (7cm)^2

= 7cm×7cm

= 49cm^2

therefore, area of square (A)= 49cm^2

The area of the square based on the information is 49cm².

Since the rectangle has length 8 cm and area 48 cm², the width will be:

= 48/8 = 6cm.

Therefore, the perimeter will be:

= 2(l + w)

= 2(8 + 6)

= 28cm

Therefore, the length of the square will be:

= 28/4 = 7

Area of the square will be:

= 7cm × 7cm

= 49cm²

Learn more about perimeter on:

https://brainly.com/question/16596982

Jared just completed a race and is standing 15 feet across the finish line. Michael is still running the race and he has 30 feet to go

Student A says that Jared and Michael are 45 feet away from each other student B says they are 15 feet away from each other

Who is correct
Explain your reasoning and write a numerical expression to justify your answer

Answers

Answer:

Student A is correct.

Step-by-step explanation:

A is correct as Michael is 30ft behind the finish line and Jared is 15 feet past it. [tex]30 + 15 = 45[/tex]

Answer:

student a

Step-by-step explanation:

jared is 15 feet after the line Michael is 30 feet before the line 15 + 30

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